1404404560 has 80 divisors (see below), whose sum is σ = 3611550096. Its totient is φ = 504520704.

The previous prime is 1404404557. The next prime is 1404404579. The reversal of 1404404560 is 654044041.

It can be written as a sum of positive squares in 8 ways, for example, as 150111504 + 1254293056 = 12252^2 + 35416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20232 + ... + 56728.

Almost surely, 2^1404404560 is an apocalyptic number.

1404404560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805775048).

1404404560 is an abundant number, since it is smaller than the sum of its proper divisors (2207145536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1404404560 is a wasteful number, since it uses less digits than its factorization.

1404404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36560 (or 36554 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1404404560 is about 37475.3860553831. The cubic root of 1404404560 is about 1119.8608883343.

The spelling of 1404404560 in words is "one billion, four hundred four million, four hundred four thousand, five hundred sixty".